Claire Scheid
Maitre de Conférences

Publications

  1. Simulation of three-dimensional nanoscale light interaction with spatially dispersive metals using a high order curvilinear DGTD method,

    N. Schmitt, C. Scheid, J. Viquerat, S. Lanteri, accepted to appear in Journal of Computational Physics, 2018, preprint

  2. Multiple branches of travelling waves for the Gross Pitaevskii equation,

    D. Chiron, C. Scheid, accepted, to appear in Nonlinearity, 2018, preprint.

  3. Analysis of a Generalized Dispersive Model coupled to a DGTD method with application to Nanophotonics,

    S. Lanteri, C. Scheid, J. Viquerat, accepted to appear in SIAM Journal of Scientific Computing (SISC) (2017).

  4. A DGTD method for the numerical modeling of the interaction of light with nanometer scale metallic structures taking into account non-local dispersion effects,

    N. Schmitt, C. Scheid, S. Lanteri, J. Viquerat, A. Moreau, Journal of Computational Physics 316 (2016) 396-415

  5. Travelling waves for the Nonlinear Schrödinger Equation with general nonlinearity in dimension two,

    D. Chiron, C. Scheid, Journal of Nonlinear Sciences (2016), 26, no. 1, 171-231 (preprint on HAL or online version).

  6. A 3D curvilinear Discontinuous Galerkin time-domain method for nanoscale light-matter interactions,

    J. Viquerat, C. Scheid, J. Computational Applied Mathematics, 289, 37-50 (2015) (online version).

  7. A parallel non-confoming multi-element DGTD method for the simulation of electromagnetic wave interaction with metallic nanoparticles,

    R. Leger, J. Viquerat, C. Durochat, C. Scheid and S. Lanteri, J. Comput. Appl. Math. (2013).

  8. High order non-conforming multi-element Discontinuous Galerkin method for time domain electromagnetics,

    C. Durochat, S. Lanteri, C. Scheid, Appl. Math. Comp. 224, 681-704 (2013) (online version)

  9. Recent advances on a DGTD method for time-domain electromagnetism,

    S. Descombes, C. Durochat, S. Lanteri, L. Moya, C. Scheid, J. Viquerat, Photonics and Nanostructures, Volume 11, issue 4, 291-302 (2013) (online version)

  10. Convergence of a Discontinuous Galerkin scheme for the mixed time domain Maxwell's equations in dispersive media,

    S. Lanteri, C. Scheid, IMA Journal of Numerical Analysis (2013), 33 (2): 432-459. (online version)

  11. Convergence of a constrained finite element discretization of the Maxwell Klein Gordon equation,

    S.H.Christiansen, C.Scheid, M2AN 45, no. 4 (2011), 739-760. (article)

  12. Electrowetting of a 3D drop: numerical modelling with electrostatic vector fields

    P.Ciarlet Jr., C.Scheid, M2AN 44 (2010) 647-670.(online version)

  13. A proof of the invariance of the contact angle in electrowetting

    C.Scheid, P.Witomski, Mathematical and Computer Modelling 49 (2009), pp. 647-665.(online version)

  14. Numerical modelling of electrowetting by a shape inverse approach,

    J.Monnier, P.Witomski, P.Chow Wing Bom, C.Scheid, SIAM J.Appl.Math., Vol.69, No.5., 2009 ( online version)(pdf)

Preprints

Soumis/Submitted

The Multiscale Hybrid-Mixed Method for the Maxwell equation in heterogeneous media,

S. Lanteri, D. Paredes, C. Scheid, F. Valentin, submitted 2016.


Rapports de Recherche/Research reports


Etude de convergence a-priori d'une methode de Galerkin discontinue en maillage hybride et non conforme pour resoudre les equations de Maxwell instationnaires,

C. Durochat and C. Scheid, INRIA Research Report, n. 7933 (2012), in french (online version)


High order non-conforming multi-element Discontinuous Galerkin method for time domain electromagnetics,

C. Durochat, S. Lanteri, C. Scheid, INRIA Research Report, n. 8257 (2013) (online version)


Proceedings


A-priori convergence analysis of a Discontinuous Galerkin Time-domain method to solve Maxwell's equations on hybrid meshes,

C. Durochat and C. Scheid, Numerical Mathematics and Advanced Applications 2011, Proceedings of ENUMATH 2011, the 9th European Conference on Numerical Mathematics and Advanced Applications, Leicester, September 2011, 91-99 (2013).